(* Title: HOL/Tools/Predicate_Compile/predicate_compile_quickcheck.ML
Author: Lukas Bulwahn, TU Muenchen
A quickcheck generator based on the predicate compiler.
*)
signature PREDICATE_COMPILE_QUICKCHECK =
sig
(*val quickcheck : Proof.context -> term -> int -> term list option*)
val put_pred_result :
(unit -> int -> int -> int -> int * int -> term list Predicate.pred) ->
Proof.context -> Proof.context;
val put_dseq_result :
(unit -> int -> int -> int * int -> term list DSequence.dseq * (int * int)) ->
Proof.context -> Proof.context;
val put_lseq_result :
(unit -> int -> int -> int * int -> int -> term list Lazy_Sequence.lazy_sequence) ->
Proof.context -> Proof.context;
val put_new_dseq_result : (unit -> int -> term list Lazy_Sequence.lazy_sequence) ->
Proof.context -> Proof.context
val tracing : bool Unsynchronized.ref;
val quiet : bool Unsynchronized.ref;
val quickcheck_compile_term : Predicate_Compile_Aux.compilation -> bool -> bool -> int ->
Proof.context -> (term * term list) list -> int list -> term list option * Quickcheck.report option;
(* val test_term : Proof.context -> bool -> int -> int -> int -> int -> term -> *)
val nrandom : int Unsynchronized.ref;
val debug : bool Unsynchronized.ref;
val function_flattening : bool Unsynchronized.ref;
val no_higher_order_predicate : string list Unsynchronized.ref;
end;
structure Predicate_Compile_Quickcheck : PREDICATE_COMPILE_QUICKCHECK =
struct
open Predicate_Compile_Aux;
(* FIXME just one data slot (record) per program unit *)
structure Pred_Result = Proof_Data
(
type T = unit -> int -> int -> int -> int * int -> term list Predicate.pred
(* FIXME avoid user error with non-user text *)
fun init _ () = error "Pred_Result"
);
val put_pred_result = Pred_Result.put;
structure Dseq_Result = Proof_Data
(
type T = unit -> int -> int -> int * int -> term list DSequence.dseq * (int * int)
(* FIXME avoid user error with non-user text *)
fun init _ () = error "Dseq_Result"
);
val put_dseq_result = Dseq_Result.put;
structure Lseq_Result = Proof_Data
(
type T = unit -> int -> int -> int * int -> int -> term list Lazy_Sequence.lazy_sequence
(* FIXME avoid user error with non-user text *)
fun init _ () = error "Lseq_Result"
);
val put_lseq_result = Lseq_Result.put;
structure New_Dseq_Result = Proof_Data
(
type T = unit -> int -> term list Lazy_Sequence.lazy_sequence
(* FIXME avoid user error with non-user text *)
fun init _ () = error "New_Dseq_Random_Result"
);
val put_new_dseq_result = New_Dseq_Result.put;
val tracing = Unsynchronized.ref false;
val quiet = Unsynchronized.ref true;
val target = "Quickcheck"
val nrandom = Unsynchronized.ref 3;
val debug = Unsynchronized.ref false;
val function_flattening = Unsynchronized.ref true;
val no_higher_order_predicate = Unsynchronized.ref ([] : string list);
val options = Options {
expected_modes = NONE,
proposed_modes = [],
proposed_names = [],
show_steps = false,
show_intermediate_results = false,
show_proof_trace = false,
show_modes = false,
show_mode_inference = false,
show_compilation = false,
show_caught_failures = false,
show_invalid_clauses = false,
skip_proof = false,
compilation = Random,
inductify = true,
specialise = true,
detect_switches = false,
function_flattening = true,
fail_safe_function_flattening = false,
no_higher_order_predicate = [],
smart_depth_limiting = true,
no_topmost_reordering = false
}
val debug_options = Options {
expected_modes = NONE,
proposed_modes = [],
proposed_names = [],
show_steps = true,
show_intermediate_results = true,
show_proof_trace = false,
show_modes = true,
show_mode_inference = true,
show_compilation = false,
show_caught_failures = true,
show_invalid_clauses = false,
skip_proof = false,
compilation = Random,
inductify = true,
specialise = true,
detect_switches = false,
function_flattening = true,
fail_safe_function_flattening = false,
no_higher_order_predicate = [],
smart_depth_limiting = true,
no_topmost_reordering = true
}
fun set_function_flattening b
(Options { expected_modes = e_m, proposed_modes = p_m, proposed_names = p_n, show_steps = s_s,
show_intermediate_results = s_ir, show_proof_trace = s_pt, show_modes = s_m,
show_mode_inference = s_mi, show_compilation = s_c, show_caught_failures = s_cf,
show_invalid_clauses = s_ic, skip_proof = s_p,
compilation = c, inductify = i, specialise = sp, detect_switches = ds, function_flattening = f_f,
fail_safe_function_flattening = fs_ff, no_higher_order_predicate = no_ho,
smart_depth_limiting = sm_dl, no_topmost_reordering = re}) =
(Options { expected_modes = e_m, proposed_modes = p_m, proposed_names = p_n, show_steps = s_s,
show_intermediate_results = s_ir, show_proof_trace = s_pt, show_modes = s_m,
show_mode_inference = s_mi, show_compilation = s_c, show_caught_failures = s_cf,
show_invalid_clauses = s_ic, skip_proof = s_p,
compilation = c, inductify = i, specialise = sp, detect_switches = ds, function_flattening = b,
fail_safe_function_flattening = fs_ff, no_higher_order_predicate = no_ho,
smart_depth_limiting = sm_dl, no_topmost_reordering = re})
fun set_fail_safe_function_flattening b
(Options { expected_modes = e_m, proposed_modes = p_m, proposed_names = p_n, show_steps = s_s,
show_intermediate_results = s_ir, show_proof_trace = s_pt, show_modes = s_m,
show_mode_inference = s_mi, show_compilation = s_c, show_caught_failures = s_cf,
show_invalid_clauses = s_ic, skip_proof = s_p,
compilation = c, inductify = i, specialise = sp, detect_switches = ds, function_flattening = f_f,
fail_safe_function_flattening = fs_ff, no_higher_order_predicate = no_ho,
smart_depth_limiting = sm_dl, no_topmost_reordering = re}) =
(Options { expected_modes = e_m, proposed_modes = p_m, proposed_names = p_n, show_steps = s_s,
show_intermediate_results = s_ir, show_proof_trace = s_pt, show_modes = s_m,
show_mode_inference = s_mi, show_compilation = s_c, show_caught_failures = s_cf,
show_invalid_clauses = s_ic, skip_proof = s_p,
compilation = c, inductify = i, specialise = sp, detect_switches = ds, function_flattening = f_f,
fail_safe_function_flattening = b, no_higher_order_predicate = no_ho,
smart_depth_limiting = sm_dl, no_topmost_reordering = re})
fun set_no_higher_order_predicate ss
(Options { expected_modes = e_m, proposed_modes = p_m, proposed_names = p_n, show_steps = s_s,
show_intermediate_results = s_ir, show_proof_trace = s_pt, show_modes = s_m,
show_mode_inference = s_mi, show_compilation = s_c, show_caught_failures = s_cf,
show_invalid_clauses = s_ic, skip_proof = s_p,
compilation = c, inductify = i, specialise = sp, detect_switches = ds, function_flattening = f_f,
fail_safe_function_flattening = fs_ff, no_higher_order_predicate = no_ho,
smart_depth_limiting = sm_dl, no_topmost_reordering = re}) =
(Options { expected_modes = e_m, proposed_modes = p_m, proposed_names = p_n, show_steps = s_s,
show_intermediate_results = s_ir, show_proof_trace = s_pt, show_modes = s_m,
show_mode_inference = s_mi, show_compilation = s_c, show_caught_failures = s_cf,
show_invalid_clauses = s_ic, skip_proof = s_p,
compilation = c, inductify = i, specialise = sp, detect_switches = ds, function_flattening = f_f,
fail_safe_function_flattening = fs_ff, no_higher_order_predicate = ss,
smart_depth_limiting = sm_dl, no_topmost_reordering = re})
fun get_options () =
set_no_higher_order_predicate (!no_higher_order_predicate)
(set_function_flattening (!function_flattening)
(if !debug then debug_options else options))
val mk_predT = Predicate_Compile_Aux.mk_predT PredicateCompFuns.compfuns
val mk_return' = Predicate_Compile_Aux.mk_single PredicateCompFuns.compfuns
val mk_bind' = Predicate_Compile_Aux.mk_bind PredicateCompFuns.compfuns
val mk_randompredT = Predicate_Compile_Aux.mk_predT RandomPredCompFuns.compfuns
val mk_return = Predicate_Compile_Aux.mk_single RandomPredCompFuns.compfuns
val mk_bind = Predicate_Compile_Aux.mk_bind RandomPredCompFuns.compfuns
val mk_new_randompredT =
Predicate_Compile_Aux.mk_predT New_Pos_Random_Sequence_CompFuns.depth_unlimited_compfuns
val mk_new_return =
Predicate_Compile_Aux.mk_single New_Pos_Random_Sequence_CompFuns.depth_unlimited_compfuns
val mk_new_bind =
Predicate_Compile_Aux.mk_bind New_Pos_Random_Sequence_CompFuns.depth_unlimited_compfuns
val mk_new_dseqT =
Predicate_Compile_Aux.mk_predT New_Pos_DSequence_CompFuns.depth_unlimited_compfuns
val mk_gen_return =
Predicate_Compile_Aux.mk_single New_Pos_DSequence_CompFuns.depth_unlimited_compfuns
val mk_gen_bind =
Predicate_Compile_Aux.mk_bind New_Pos_DSequence_CompFuns.depth_unlimited_compfuns
val mk_split_lambda = HOLogic.tupled_lambda o HOLogic.mk_tuple
fun cpu_time description e =
let val ({cpu, ...}, result) = Timing.timing e ()
in (result, (description, Time.toMilliseconds cpu)) end
fun compile_term compilation options ctxt [(t, eval_terms)] =
let
val t' = list_abs_free (Term.add_frees t [], t)
val thy = Theory.copy (Proof_Context.theory_of ctxt)
val ((((full_constname, constT), vs'), intro), thy1) =
Predicate_Compile_Aux.define_quickcheck_predicate t' thy
val thy2 = Context.theory_map (Predicate_Compile_Alternative_Defs.add_thm intro) thy1
val (thy3, preproc_time) = cpu_time "predicate preprocessing"
(fn () => Predicate_Compile.preprocess options (Const (full_constname, constT)) thy2)
val (thy4, core_comp_time) = cpu_time "random_dseq core compilation"
(fn () =>
case compilation of
Pos_Random_DSeq =>
Predicate_Compile_Core.add_random_dseq_equations options [full_constname] thy3
| New_Pos_Random_DSeq =>
Predicate_Compile_Core.add_new_random_dseq_equations options [full_constname] thy3
| Pos_Generator_DSeq =>
Predicate_Compile_Core.add_generator_dseq_equations options [full_constname] thy3
(*| Depth_Limited_Random =>
Predicate_Compile_Core.add_depth_limited_random_equations options [full_constname] thy3*))
(*val _ = Predicate_Compile_Core.print_all_modes compilation thy4*)
val _ = Output.tracing ("Preprocessing time: " ^ string_of_int (snd preproc_time))
val _ = Output.tracing ("Core compilation time: " ^ string_of_int (snd core_comp_time))
val ctxt4 = Proof_Context.init_global thy4
val modes = Core_Data.modes_of compilation ctxt4 full_constname
val output_mode = fold_rev (curry Fun) (map (K Output) (binder_types constT)) Bool
val prog =
if member eq_mode modes output_mode then
let
val name = Core_Data.function_name_of compilation ctxt4 full_constname output_mode
val T =
case compilation of
Pos_Random_DSeq => mk_randompredT (HOLogic.mk_tupleT (map snd vs'))
| New_Pos_Random_DSeq => mk_new_randompredT (HOLogic.mk_tupleT (map snd vs'))
| Pos_Generator_DSeq => mk_new_dseqT (HOLogic.mk_tupleT (map snd vs'))
| Depth_Limited_Random =>
[@{typ code_numeral}, @{typ code_numeral}, @{typ code_numeral},
@{typ "code_numeral * code_numeral"}] ---> mk_predT (HOLogic.mk_tupleT (map snd vs'))
in
Const (name, T)
end
else error ("Predicate Compile Quickcheck failed: " ^ commas (map string_of_mode modes))
val qc_term =
case compilation of
Pos_Random_DSeq => mk_bind (prog,
mk_split_lambda (map Free vs') (mk_return (HOLogic.mk_list @{typ term}
(map2 HOLogic.mk_term_of (map snd vs') (map Free vs')))))
| New_Pos_Random_DSeq => mk_new_bind (prog,
mk_split_lambda (map Free vs') (mk_new_return (HOLogic.mk_list @{typ term}
(map2 HOLogic.mk_term_of (map snd vs') (map Free vs')))))
| Pos_Generator_DSeq => mk_gen_bind (prog,
mk_split_lambda (map Free vs') (mk_gen_return (HOLogic.mk_list @{typ term}
(map2 HOLogic.mk_term_of (map snd vs') (map Free vs')))))
| Depth_Limited_Random => fold_rev (curry absdummy)
[@{typ code_numeral}, @{typ code_numeral}, @{typ code_numeral},
@{typ "code_numeral * code_numeral"}]
(mk_bind' (list_comb (prog, map Bound (3 downto 0)),
mk_split_lambda (map Free vs') (mk_return' (HOLogic.mk_list @{typ term}
(map2 HOLogic.mk_term_of (map snd vs') (map Free vs'))))))
val prog =
case compilation of
Pos_Random_DSeq =>
let
val compiled_term =
Code_Runtime.dynamic_value_strict (Dseq_Result.get, put_dseq_result, "Predicate_Compile_Quickcheck.put_dseq_result")
thy4 (SOME target)
(fn proc => fn g => fn n => fn size => fn s => g n size s |>> (DSequence.map o map) proc)
qc_term []
in
(fn size => fn nrandom => fn depth =>
Option.map fst (DSequence.yield
(compiled_term nrandom size |> Random_Engine.run) depth true))
end
| New_Pos_Random_DSeq =>
let
val compiled_term =
Code_Runtime.dynamic_value_strict
(Lseq_Result.get, put_lseq_result, "Predicate_Compile_Quickcheck.put_lseq_result")
thy4 (SOME target)
(fn proc => fn g => fn nrandom => fn size => fn s => fn depth =>
g nrandom size s depth |> (Lazy_Sequence.mapa o map) proc)
qc_term []
in
fn size => fn nrandom => fn depth => Option.map fst (Lazy_Sequence.yield
(
let
val seed = Random_Engine.next_seed ()
in compiled_term nrandom size seed depth end))
end
| Pos_Generator_DSeq =>
let
val compiled_term =
Code_Runtime.dynamic_value_strict
(New_Dseq_Result.get, put_new_dseq_result, "Predicate_Compile_Quickcheck.put_new_dseq_result")
thy4 (SOME target)
(fn proc => fn g => fn depth => g depth |> (Lazy_Sequence.mapa o map) proc)
qc_term []
in
fn size => fn nrandom => fn depth => Option.map fst (Lazy_Sequence.yield (compiled_term depth))
end
| Depth_Limited_Random =>
let
val compiled_term = Code_Runtime.dynamic_value_strict
(Pred_Result.get, put_pred_result, "Predicate_Compile_Quickcheck.put_pred_result")
thy4 (SOME target) (fn proc => fn g => fn depth => fn nrandom => fn size => fn seed =>
g depth nrandom size seed |> (Predicate.map o map) proc)
qc_term []
in
fn size => fn nrandom => fn depth => Option.map fst (Predicate.yield
(compiled_term depth nrandom size (Random_Engine.run (fn s => (s, s)))))
end
in
prog
end
fun try_upto quiet f i =
let
fun try' j =
if j <= i then
let
val _ = if quiet then () else Output.urgent_message ("Executing depth " ^ string_of_int j)
in
case f j handle Match => (if quiet then ()
else warning "Exception Match raised during quickcheck"; NONE)
of NONE => try' (j + 1) | SOME q => SOME q
end
else
NONE
in
try' 0
end
(* quickcheck interface functions *)
fun compile_term' compilation options depth ctxt t =
let
val c = compile_term compilation options ctxt t
in
fn [card, size] => (try_upto (!quiet) (c size (!nrandom)) depth, NONE)
end
fun quickcheck_compile_term compilation function_flattening fail_safe_function_flattening depth =
let
val options =
set_fail_safe_function_flattening fail_safe_function_flattening
(set_function_flattening function_flattening (get_options ()))
in
compile_term' compilation options depth
end
end;